Hybrid Artificial Neural Networks Modeling for Faults Identification of a Stochastic Multivariate Process

Table 2

Significant variables selected by LR analysis.

Correlation 𝜌	Shift value 𝛿𝑖	Significant explanatory variables
0.1	0.5	𝑥1, 𝑥3, 𝑥5, 𝑥9, 𝑥12, 𝑥17, 𝑥18, 𝑥20
	1.0	𝑥1, 𝑥2, 𝑥3, 𝑥5, 𝑥6, 𝑥11, 𝑥12, 𝑥13, 𝑥16, 𝑥17, 𝑥20
0.5	0.5	𝑥1, 𝑥3, 𝑥4, 𝑥5, 𝑥8, 𝑥9, 𝑥11, 𝑥12, 𝑥13, 𝑥16
	1.0	𝑥1, 𝑥3, 𝑥6, 𝑥8, 𝑥12, 𝑥13, 𝑥15, 𝑥16, 𝑥20
0.9	0.5	𝑥1, 𝑥3, 𝑥8, 𝑥9, 𝑥12, 𝑥13, 𝑥16, 𝑥20
	1.0	𝑥1, 𝑥13